Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
706 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 706 conjugacy classes of subgroups — too many to draw. Only its 219 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13114453 | C2 | semidirect |
| 4. #13114445 | C2 | semidirect |
| 5. #13114431 | C2 | semidirect |
| 61. C2×C8×C13 | Q16 | semidirect |
| 171. C2×C8 | #6107 | semidirect |
| 187. C13 | #19604 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125418 | 2 |
| #13125350 | 2 |
| #13114453 | 2 |
| #13114445 | 2 |
| #13114431 | 2 |
| C2×C8×#1055 | 2 |
| C13×#3160 | 2 |
| #19604 | 13 |